Search a number
-
+
100372788133 = 617641253789
BaseRepresentation
bin101110101111010101…
…1110011001110100101
3100121002011002221102121
41131132223303032211
53121030413210013
6114035521105541
710152221423242
oct1353653631645
9317064087377
10100372788133
1139627905372
12175527882b1
139607b14137
144c027805c9
152926d2558d
hex175eaf33a5

100372788133 has 8 divisors (see below), whose sum is σ = 100692705240. Its totient is φ = 100053381120.

The previous prime is 100372788121. The next prime is 100372788149. The reversal of 100372788133 is 331887273001.

It can be written as a sum of positive squares in 4 ways, for example, as 21227907204 + 79144880929 = 145698^2 + 281327^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100372788133 - 217 = 100372657061 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100372788133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100372788163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 268603 + ... + 522391.

It is an arithmetic number, because the mean of its divisors is an integer number (12586588155).

Almost surely, 2100372788133 is an apocalyptic number.

It is an amenable number.

100372788133 is a deficient number, since it is larger than the sum of its proper divisors (319917107).

100372788133 is an equidigital number, since it uses as much as digits as its factorization.

100372788133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255047.

The product of its (nonzero) digits is 169344, while the sum is 43.

The spelling of 100372788133 in words is "one hundred billion, three hundred seventy-two million, seven hundred eighty-eight thousand, one hundred thirty-three".

Divisors: 1 617 641 253789 395497 156587813 162678749 100372788133